Performance of high resolution frequencies estimation methods compared to the Cramer-Rao bounds

H Clergeot, S Tressens… - IEEE transactions on …, 1989 - ieeexplore.ieee.org
An explicit expression for the Cramer-Rao bounds (CRBs) and a calculation of the statistical
perturbation of the covariance matrix due to additive noise are presented. The results are …

Statistical analysis of the MUSIC algorithm in the presence of modeling errors, taking into account the resolution probability

A Ferreol, P Larzabal, M Viberg - IEEE Transactions on Signal …, 2010 - ieeexplore.ieee.org
This paper considers the statistical performance of the MUSIC method under the condition
that two closely spaced sources impinging on an array of sensors are effectively resolved, ie …

Statistical performance of MUSIC-like algorithms in resolving noncircular sources

H Abeida, JP Delmas - IEEE Transactions on Signal Processing, 2008 - ieeexplore.ieee.org
This paper addresses the resolution of the conventional and noncircular MUSIC algorithms
for arbitrary circular and noncircular second-order distributions of two uncorrelated closely …

On the resolution probability of MUSIC in presence of modeling errors

A Ferreol, P Larzabal, M Viberg - IEEE Transactions on Signal …, 2008 - ieeexplore.ieee.org
The problem of resolving closely spaced signal sources using an antenna array remains a
difficult one, although several estimation methods are available in the literature. When the …

Statistical resolution limit for source localization with clutter interference in a MIMO radar context

MN El Korso, R Boyer, A Renaux… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
During the last decade, multiple-input multiple-ouput (MIMO) radar has received an
increasing interest. One can find several estimation schemes in the literature related to the …

Statistical resolution limit of the uniform linear cocentered orthogonal loop and dipole array

MN El Korso, R Boyer, A Renaux… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Among the family of polarization sensitive arrays, we can find the so-called cocentered
orthogonal loop and dipole uniform linear array (COLD-ULA). The COLD-ULA exhibits some …

Performance bounds and statistical analysis of DOA estimation

JP Delmas - Academic Press Library in Signal Processing, 2014 - Elsevier
The aim of this chapter is to provide a unified methodology to study the theoretical statistical
performance of arbitrary DOA estimation and source number detection methods and to …

Statistical resolution limit analysis of two closely spaced signal sources using Rao test

M Sun, D Jiang, H Song, Y Liu - IEEE Access, 2017 - ieeexplore.ieee.org
High computational complexity and difficulty in taking an analytical expression of detection
statistics are some of the problems encountered when using the statistical resolution limit …

On the asymptotic resolvability of two point sources in known subspace interference using a GLRT-based framework

MN El Korso, R Boyer, A Renaux, S Marcos - Signal Processing, 2012 - Elsevier
The asymptotic statistical resolution limit (SRL), denoted by δ, characterizing the minimal
separation to resolve two closely spaced far-field narrowband sources for a large number of …

Statistical resolution limit for the multidimensional harmonic retrieval model: hypothesis test and Cramér-Rao Bound approaches

MN El Korso, R Boyer, A Renaux, S Marcos - EURASIP Journal on …, 2011 - Springer
The statistical resolution limit (SRL), which is defined as the minimal separation between
parameters to allow a correct resolvability, is an important statistical tool to quantify the …